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Two numbers 11284 and 7655, when divided by a certain number of three digits, leaves the
same remainder. The sum of digits of such a three-digit number is
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- 8
- 9
- 10
- 11
- 8
Correct Option: D
If the remainder be p, then (11284 – p ) and (7655 – p ) are divisible by three digit number.
i.e. (11284 – p ) – (7655 – p ) = 3629 is divisible by that number.
3629 = 19 × 191
Hence, required number = 191
Sum of digits = 1 + 9 + 1 = 11
